PROBLEM TO BE SOLVED: To provide an interface advancing freeze concentration apparatus and an interface advancing freeze concentration method which are capable of increasing yield of concentrated liquid and suppressing quality deterioration by preventing supercooling and by shortening concentration time.SOLUTION: An interface advancing freeze concentration apparatus 10 is equipped with at least: a stirring mechanism 30 which stirs solution 1 in a container 20 in which a seed crystal 3 is arranged； a cooling mechanism 40 which cools down the solution 1 in the container 20 by cooling medium； an ice crystal removing mechanism 60 which removes generated ice crystal to obtain concentrated liquid, in which the apparatus is equipped with: a temperature adjusting mechanism 70 which adjusts temperature of the cooling medium such that temperature of the solution gradually drops while the ice crystal is being generated.
